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Finding the Fourth Proportional to 1,759.77, 2,431.37 and 1,389.57

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Solution

The fourth proportional to 1,759.77, 2,431.37 and 1,389.57 is: 1,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.77 : 2,431.37 = 1,389.57 : x
  2. Step 2: Convert to fraction form
    1,759.77/2,431.37 = 1,389.57/x
  3. Step 3: Cross multiply
    1,759.77x = 2,431.37 × 1,389.57
  4. Step 4: Simplify right side
    1,759.77x = 3,378,551.86
  5. Step 5: Solve for x
    x = 3,378,551.86/1,759.77
  6. Step 6: Final answer
    x = 1,919.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.